Properties

Label 69360m
Number of curves $1$
Conductor $69360$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 69360m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69360.h1 69360m1 \([0, -1, 0, -111361, -12719939]\) \(85525504/10125\) \(18081163287072000\) \([]\) \(470016\) \(1.8507\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69360m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 69360m do not have complex multiplication.

Modular form 69360.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{7} + q^{9} - 3 q^{11} - 4 q^{13} + q^{15} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display